The generator matrix 1 0 0 0 1 1 1 1 X^2+2 1 1 1 X^2+X+2 X X^2+X X 1 1 X^2+2 2 X^2+X 1 1 X X^2 1 1 1 1 2 2 1 1 1 2 1 X^2+X+2 X^2+2 0 X^2+2 1 1 1 1 1 X^2+2 X^2+X 1 1 1 1 1 1 2 0 X^2+X+2 X 0 X^2+X+2 1 X^2+X+2 X^2+2 1 X^2 1 2 1 1 1 X+2 1 1 1 1 0 1 2 X 1 0 1 0 0 X X^2+1 3 X^2 1 X+3 X^2+X X+1 1 1 X+2 X^2+2 X^2+X+2 1 X^2+2 X+2 1 X^2+X X^2+X+1 1 1 X^2+1 X+3 X^2+X X 1 X^2+X X^2+3 X^2+X+1 X+2 1 X^2+X+1 X^2+2 1 X^2+X 1 X^2+X+2 0 X^2+1 X^2+2 X 1 1 0 1 X+3 X+1 X^2+2 X^2 1 X+2 1 1 2 1 X^2+1 1 2 X^2 1 0 X^2+X+2 X+1 X^2+X+3 2 1 X^2 X^2+2 X^2+X+2 X^2+X+2 1 X+2 1 X^2+2 X^2+2 0 0 1 0 0 X^2 1 X^2+1 1 X^2+1 3 2 0 3 1 1 X+2 X^2 1 0 X^2+X+3 3 X+1 X^2+3 X+2 X+2 X^2+3 X^2+X+3 2 X^2+X 1 X^2+3 X^2+X X+2 X^2+X+1 X^2+X X^2+2 X^2+X+3 1 3 1 X X^2+X+3 2 X+1 0 X^2+X X^2+3 X^2+X X^2+X+3 X X^2+X+2 X+3 X^2+X+2 1 X^2+3 X^2 X^2 X^2 3 3 X^2+X+2 X+1 X^2+1 X+1 0 0 X^2 X+2 2 0 X+2 0 X^2+3 X+1 1 X 0 X^2 0 0 0 1 1 X^2+X+1 X^2 X^2+X+3 X^2+X+1 X^2+1 X^2+X+2 X^2+X X+1 2 X^2+3 0 X+1 X^2+X X^2+1 1 X^2+2 X^2+X+3 X+1 X^2+X+3 X+2 X^2+1 X+2 X+2 X^2+2 X^2+1 1 X^2+X X^2+X+1 1 X^2+3 0 1 X X+2 X X^2+3 X^2+3 3 X X^2 0 X^2+1 X^2+1 X^2+X+2 3 X^2+3 X^2+2 X X X+3 X^2+X X^2+3 1 0 X^2+X+3 X^2 1 0 X^2+X X^2+X+1 1 X^2 X^2+1 X X^2+X+3 X^2+X X+3 X^2+X+1 X 0 X+1 X^2+3 1 X^2+2 0 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2+2 2 X^2 X^2 X^2 0 X^2 2 X^2+2 0 0 0 2 X^2+2 X^2+2 2 0 X^2+2 X^2 2 X^2+2 0 X^2 X^2 X^2+2 2 2 2 0 2 2 X^2 0 0 2 X^2+2 0 X^2+2 0 X^2+2 2 X^2+2 2 2 0 X^2+2 2 2 X^2 0 X^2+2 X^2 X^2 0 X^2+2 X^2+2 X^2+2 2 X^2 2 X^2 X^2+2 0 2 2 generates a code of length 79 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+280x^70+1252x^71+3266x^72+6000x^73+9347x^74+14856x^75+20761x^76+28426x^77+30055x^78+33298x^79+30928x^80+28086x^81+20769x^82+15432x^83+9321x^84+5386x^85+2589x^86+1102x^87+537x^88+242x^89+110x^90+38x^91+18x^92+20x^93+14x^94+4x^95+2x^98+2x^99+2x^102 The gray image is a code over GF(2) with n=632, k=18 and d=280. This code was found by Heurico 1.16 in 657 seconds.